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Finding the Fourth Proportional to 8,238.17, 12,357.15 and 1,998.24

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Solution

The fourth proportional to 8,238.17, 12,357.15 and 1,998.24 is: 2,997.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.17 : 12,357.15 = 1,998.24 : x
  2. Step 2: Convert to fraction form
    8,238.17/12,357.15 = 1,998.24/x
  3. Step 3: Cross multiply
    8,238.17x = 12,357.15 × 1,998.24
  4. Step 4: Simplify right side
    8,238.17x = 24,692,551.42
  5. Step 5: Solve for x
    x = 24,692,551.42/8,238.17
  6. Step 6: Final answer
    x = 2,997.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.